Stirlingset
A048993 \(\bbox[yellow, 5px]{\color{DarkGreen} T_{n, k} \ = \ {n \brace k} } \)
\(T_{n - k, k} \ \ (k \le n/2)\) ➤ Tantidiag ➤ 1 0 0 1 0 1 0 1 1 0 1 3 0 1 7 1 0 1 15
\(T_{n + 1, n-k} \) ➤ RevToff11 ➤ 0 1 0 3 1 0 6 7 1 0 10 25 15 1 0 15 65
\(T_{n + 1, n-k} \) ➤ RevTrev11 ➤ 0 0 1 0 1 3 0 1 7 6 0 1 15 25 10 0 1 31
\(T_{n - k, n - 2k} \ \ (k \le n/2)\) ➤ RevTantidiag ➤ 1 1 1 0 1 1 1 3 0 1 6 1 1 10 7 0 1 15
\(\sum_{j=0}^{n-k} T_{n, n-j}\) ➤ RevTacc ➤ 1 1 1 1 2 2 1 4 5 5 1 7 14 15 15 1 11
\(T_{n + 1, n-k}\ (n-k + 1) \) ➤ RevTder ➤ 0 1 0 3 2 0 6 14 3 0 10 50 45 4 0 15
\(\sum_{k=0}^{n} T_{n, n-k}\ k^{2}\) ➤ RevTransSqrs ➤ 0 0 1 7 43 261 1606 10158 66529 452623